Numerical analysis of stationary solutions of systems with delayed argument in mathematical immunology
- Authors: Khristichenko M.Y.1, Nechepurenko Y.M.1, Grebennikov D.S.1, Bocharov G.A.1
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Affiliations:
- Marchuk Institute of Numerical Mathematics of the Russian Academy of Sciences
- Issue: Vol 68, No 4 (2022)
- Pages: 686-703
- Section: Articles
- URL: https://journals.rudn.ru/CMFD/article/view/33498
- DOI: https://doi.org/10.22363/2413-3639-2022-68-4-686-703
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Abstract
This work is devoted to the technology developed by the authors that allows one for fixed values of parameters and tracing by parameters to calculate stationary solutions of systems with delay and analyze their stability. We discuss the results of applying this technology to Marchuk-Petrov's antiviral immune response model with parameter values corresponding to hepatitis B infection. The presence of bistability and hysteresis properties in this model is shown for the first time.
About the authors
M. Yu. Khristichenko
Marchuk Institute of Numerical Mathematics of the Russian Academy of Sciences
Author for correspondence.
Email: misha.hrist@gmail.com
Moscow, Russia
Yu. M. Nechepurenko
Marchuk Institute of Numerical Mathematics of the Russian Academy of Sciences
Email: yumnech@yandex.ru
Moscow, Russia
D. S. Grebennikov
Marchuk Institute of Numerical Mathematics of the Russian Academy of Sciences
Email: dmitry.ew@gmail.com
Moscow, Russia
G. A. Bocharov
Marchuk Institute of Numerical Mathematics of the Russian Academy of Sciences
Email: gbocharov@gmail.com
Moscow, Russia
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